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6852780000 = 253254113461
BaseRepresentation
bin1100110000111010…
…10001111111100000
3122200120201021220200
412120131101333200
5103013302430000
63051554505200
7331550445303
oct63035217740
918616637820
106852780000
1129a7241050
1213b2b95200
1385296b511
14490196b3a
152a1938500
hex198751fe0

6852780000 has 360 divisors, whose sum is σ = 26573162616. Its totient is φ = 1660800000.

The previous prime is 6852779977. The next prime is 6852780001. The reversal of 6852780000 is 872586.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6852780001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1978270 + ... + 1981730.

Almost surely, 26852780000 is an apocalyptic number.

6852780000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6852780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13286581308).

6852780000 is an abundant number, since it is smaller than the sum of its proper divisors (19720382616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6852780000 is a wasteful number, since it uses less digits than its factorization.

6852780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6852780000 is about 82781.5196767974. The cubic root of 6852780000 is about 1899.4254957410.

The spelling of 6852780000 in words is "six billion, eight hundred fifty-two million, seven hundred eighty thousand".